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Finding the Fourth Proportional to 313,814.80, 470,778.60 and 114,414.92

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Solution

The fourth proportional to 313,814.80, 470,778.60 and 114,414.92 is: 171,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,814.80 : 470,778.60 = 114,414.92 : x
  2. Step 2: Convert to fraction form
    313,814.80/470,778.60 = 114,414.92/x
  3. Step 3: Cross multiply
    313,814.80x = 470,778.60 × 114,414.92
  4. Step 4: Simplify right side
    313,814.80x = 53,864,095,856.71
  5. Step 5: Solve for x
    x = 53,864,095,856.71/313,814.80
  6. Step 6: Final answer
    x = 171,642.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.